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Simplifying 7(5y + -1) + -18y = 12y + -1(3 + -1y) Reorder the terms: 7(-1 + 5y) + -18y = 12y + -1(3 + -1y) (-1 * 7 + 5y * 7) + -18y = 12y + -1(3 + -1y) (-7 + 35y) + -18y = 12y + -1(3 + -1y) Combine like terms: 35y + -18y = 17y -7 + 17y = 12y + -1(3 + -1y) -7 + 17y = 12y + (3 * -1 + -1y * -1) -7 + 17y = 12y + (-3 + 1y) Reorder the terms: -7 + 17y = -3 + 12y + 1y Combine like terms: 12y + 1y = 13y -7 + 17y = -3 + 13y Solving -7 + 17y = -3 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -7 + 17y + -13y = -3 + 13y + -13y Combine like terms: 17y + -13y = 4y -7 + 4y = -3 + 13y + -13y Combine like terms: 13y + -13y = 0 -7 + 4y = -3 + 0 -7 + 4y = -3 Add '7' to each side of the equation. -7 + 7 + 4y = -3 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = -3 + 7 4y = -3 + 7 Combine like terms: -3 + 7 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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