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Simplifying (2y + -4)(2y + -4) + -36 = (6 + -2y)(6 + -2y) Reorder the terms: (-4 + 2y)(2y + -4) + -36 = (6 + -2y)(6 + -2y) Reorder the terms: (-4 + 2y)(-4 + 2y) + -36 = (6 + -2y)(6 + -2y) Multiply (-4 + 2y) * (-4 + 2y) (-4(-4 + 2y) + 2y * (-4 + 2y)) + -36 = (6 + -2y)(6 + -2y) ((-4 * -4 + 2y * -4) + 2y * (-4 + 2y)) + -36 = (6 + -2y)(6 + -2y) ((16 + -8y) + 2y * (-4 + 2y)) + -36 = (6 + -2y)(6 + -2y) (16 + -8y + (-4 * 2y + 2y * 2y)) + -36 = (6 + -2y)(6 + -2y) (16 + -8y + (-8y + 4y2)) + -36 = (6 + -2y)(6 + -2y) Combine like terms: -8y + -8y = -16y (16 + -16y + 4y2) + -36 = (6 + -2y)(6 + -2y) Reorder the terms: 16 + -36 + -16y + 4y2 = (6 + -2y)(6 + -2y) Combine like terms: 16 + -36 = -20 -20 + -16y + 4y2 = (6 + -2y)(6 + -2y) Multiply (6 + -2y) * (6 + -2y) -20 + -16y + 4y2 = (6(6 + -2y) + -2y * (6 + -2y)) -20 + -16y + 4y2 = ((6 * 6 + -2y * 6) + -2y * (6 + -2y)) -20 + -16y + 4y2 = ((36 + -12y) + -2y * (6 + -2y)) -20 + -16y + 4y2 = (36 + -12y + (6 * -2y + -2y * -2y)) -20 + -16y + 4y2 = (36 + -12y + (-12y + 4y2)) Combine like terms: -12y + -12y = -24y -20 + -16y + 4y2 = (36 + -24y + 4y2) Add '-4y2' to each side of the equation. -20 + -16y + 4y2 + -4y2 = 36 + -24y + 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -20 + -16y + 0 = 36 + -24y + 4y2 + -4y2 -20 + -16y = 36 + -24y + 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -20 + -16y = 36 + -24y + 0 -20 + -16y = 36 + -24y Solving -20 + -16y = 36 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -20 + -16y + 24y = 36 + -24y + 24y Combine like terms: -16y + 24y = 8y -20 + 8y = 36 + -24y + 24y Combine like terms: -24y + 24y = 0 -20 + 8y = 36 + 0 -20 + 8y = 36 Add '20' to each side of the equation. -20 + 20 + 8y = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 8y = 36 + 20 8y = 36 + 20 Combine like terms: 36 + 20 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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