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Simplifying 2(y + -2) + -7 = -7(-3y + 1) + -3y Reorder the terms: 2(-2 + y) + -7 = -7(-3y + 1) + -3y (-2 * 2 + y * 2) + -7 = -7(-3y + 1) + -3y (-4 + 2y) + -7 = -7(-3y + 1) + -3y Reorder the terms: -4 + -7 + 2y = -7(-3y + 1) + -3y Combine like terms: -4 + -7 = -11 -11 + 2y = -7(-3y + 1) + -3y Reorder the terms: -11 + 2y = -7(1 + -3y) + -3y -11 + 2y = (1 * -7 + -3y * -7) + -3y -11 + 2y = (-7 + 21y) + -3y Combine like terms: 21y + -3y = 18y -11 + 2y = -7 + 18y Solving -11 + 2y = -7 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -11 + 2y + -18y = -7 + 18y + -18y Combine like terms: 2y + -18y = -16y -11 + -16y = -7 + 18y + -18y Combine like terms: 18y + -18y = 0 -11 + -16y = -7 + 0 -11 + -16y = -7 Add '11' to each side of the equation. -11 + 11 + -16y = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -16y = -7 + 11 -16y = -7 + 11 Combine like terms: -7 + 11 = 4 -16y = 4 Divide each side by '-16'. y = -0.25 Simplifying y = -0.25
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