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Simplifying -4(-6y + 7) + -3y = 3(y + -4) + -7 Reorder the terms: -4(7 + -6y) + -3y = 3(y + -4) + -7 (7 * -4 + -6y * -4) + -3y = 3(y + -4) + -7 (-28 + 24y) + -3y = 3(y + -4) + -7 Combine like terms: 24y + -3y = 21y -28 + 21y = 3(y + -4) + -7 Reorder the terms: -28 + 21y = 3(-4 + y) + -7 -28 + 21y = (-4 * 3 + y * 3) + -7 -28 + 21y = (-12 + 3y) + -7 Reorder the terms: -28 + 21y = -12 + -7 + 3y Combine like terms: -12 + -7 = -19 -28 + 21y = -19 + 3y Solving -28 + 21y = -19 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -28 + 21y + -3y = -19 + 3y + -3y Combine like terms: 21y + -3y = 18y -28 + 18y = -19 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + 18y = -19 + 0 -28 + 18y = -19 Add '28' to each side of the equation. -28 + 28 + 18y = -19 + 28 Combine like terms: -28 + 28 = 0 0 + 18y = -19 + 28 18y = -19 + 28 Combine like terms: -19 + 28 = 9 18y = 9 Divide each side by '18'. y = 0.5 Simplifying y = 0.5
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