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Simplifying 20 + -7(5y + -19) = -15 + -18y + -19 Reorder the terms: 20 + -7(-19 + 5y) = -15 + -18y + -19 20 + (-19 * -7 + 5y * -7) = -15 + -18y + -19 20 + (133 + -35y) = -15 + -18y + -19 Combine like terms: 20 + 133 = 153 153 + -35y = -15 + -18y + -19 Reorder the terms: 153 + -35y = -15 + -19 + -18y Combine like terms: -15 + -19 = -34 153 + -35y = -34 + -18y Solving 153 + -35y = -34 + -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. 153 + -35y + 18y = -34 + -18y + 18y Combine like terms: -35y + 18y = -17y 153 + -17y = -34 + -18y + 18y Combine like terms: -18y + 18y = 0 153 + -17y = -34 + 0 153 + -17y = -34 Add '-153' to each side of the equation. 153 + -153 + -17y = -34 + -153 Combine like terms: 153 + -153 = 0 0 + -17y = -34 + -153 -17y = -34 + -153 Combine like terms: -34 + -153 = -187 -17y = -187 Divide each side by '-17'. y = 11 Simplifying y = 11
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