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Simplifying -100 + 8y + 9 = 4(4y + -3) + -7 Reorder the terms: -100 + 9 + 8y = 4(4y + -3) + -7 Combine like terms: -100 + 9 = -91 -91 + 8y = 4(4y + -3) + -7 Reorder the terms: -91 + 8y = 4(-3 + 4y) + -7 -91 + 8y = (-3 * 4 + 4y * 4) + -7 -91 + 8y = (-12 + 16y) + -7 Reorder the terms: -91 + 8y = -12 + -7 + 16y Combine like terms: -12 + -7 = -19 -91 + 8y = -19 + 16y Solving -91 + 8y = -19 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -91 + 8y + -16y = -19 + 16y + -16y Combine like terms: 8y + -16y = -8y -91 + -8y = -19 + 16y + -16y Combine like terms: 16y + -16y = 0 -91 + -8y = -19 + 0 -91 + -8y = -19 Add '91' to each side of the equation. -91 + 91 + -8y = -19 + 91 Combine like terms: -91 + 91 = 0 0 + -8y = -19 + 91 -8y = -19 + 91 Combine like terms: -19 + 91 = 72 -8y = 72 Divide each side by '-8'. y = -9 Simplifying y = -9
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