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Simplifying -4(y + 1) + -15 = -4(y + 7) + 2y Reorder the terms: -4(1 + y) + -15 = -4(y + 7) + 2y (1 * -4 + y * -4) + -15 = -4(y + 7) + 2y (-4 + -4y) + -15 = -4(y + 7) + 2y Reorder the terms: -4 + -15 + -4y = -4(y + 7) + 2y Combine like terms: -4 + -15 = -19 -19 + -4y = -4(y + 7) + 2y Reorder the terms: -19 + -4y = -4(7 + y) + 2y -19 + -4y = (7 * -4 + y * -4) + 2y -19 + -4y = (-28 + -4y) + 2y Combine like terms: -4y + 2y = -2y -19 + -4y = -28 + -2y Solving -19 + -4y = -28 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -19 + -4y + 2y = -28 + -2y + 2y Combine like terms: -4y + 2y = -2y -19 + -2y = -28 + -2y + 2y Combine like terms: -2y + 2y = 0 -19 + -2y = -28 + 0 -19 + -2y = -28 Add '19' to each side of the equation. -19 + 19 + -2y = -28 + 19 Combine like terms: -19 + 19 = 0 0 + -2y = -28 + 19 -2y = -28 + 19 Combine like terms: -28 + 19 = -9 -2y = -9 Divide each side by '-2'. y = 4.5 Simplifying y = 4.5
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